Online GCD Calculator is useful to find the GCD of 356, 364, 908, 172 quickly. Get the easiest ways to solve the greatest common divisor of 356, 364, 908, 172 i.e 4 in different methods as follows.
Given Input numbers are 356, 364, 908, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (356, 364, 908, 172) = 4.
Given numbers are 356, 364, 908, 172
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 908 are 2 x 2 x 227
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 356, 364, 908, 172 is 4.
Given numbers are 356, 364, 908, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 364) = 32396
GCD(356, 364) = ( 356 x 364 ) / 32396
= 356 / 364
= 356
Step2:
LCM(4, 908) = 908
GCD(4, 908) = ( 4 x 908 ) / 908
= 4 / 908
= 4
Step3:
LCM(4, 172) = 172
GCD(4, 172) = ( 4 x 172 ) / 172
= 4 / 172
= 4
So, Greatest Common Divisor of 356, 364, 908, 172 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 364, 908, 172
The greatest common divisor of numbers 356, 364, 908, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 364, 908, 172 is 4.
1. What is the GCD of 356, 364, 908, 172?
GCD of given numbers 356, 364, 908, 172 is 4
2. How to calculate the greatest common divisor of 356, 364, 908, 172?
We can find the highest common divisor of 356, 364, 908, 172 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 356, 364, 908, 172 i.e 4.
3. How can I use the GCD of 356, 364, 908, 172Calculator?
Out the numbers 356, 364, 908, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.